First there was the fling with a Playboy photographer — their daughter is now 21. Then the Connecticut woman and her now 14-year-old son.

Now it’s the society gal with a 7-month-old baby.

Frequent Family Court defendant and former HBO chief Michael Fuchs is back in legal hot water — once again battling demands for child support, from his third spurned baby mama in 17 years.

All of the women had to sue the mogul for paternity. And when he couldn’t duck that, they hauled him to court for child support.

The randy 67-year-old was in Manhattan Family Court yesterday, fending off requests from Rachel Rosen, 42, the mother of his latest out-of-wedlock child, who wants him to up the $3,500-a-month he was ordered to pay for the care of their little boy, Henry.

Rosen, who met Fuchs on a blind date a few years ago, also wants him to pony up funds for Henry’s education.

“He pays tuition for his other children,” said Rosen’s attorney, Eddie Hayes. “If he was a gangster and he was this greedy, they’d kill him as a warning to other deadbeat dads.”

Fuchs’ paternity of Henry was established after a court-ordered DNA test in January, shortly after Rosen brought her case in December. Now the former media titan is pleading poverty, claiming he only makes $180,000 a year.

Rosen says she was swept off her feet by the former Tine Warner exec, who wined and dined her and even took her on a trip to Kenya.

She estimates he’s worth about $30 million.

Fuchs begrudgingly started paying health care for the tot, whom he’s never met, after Judge Matthew Troy ordered the outlays.

“You’d think a man with that kind of wealth would be happy to pay for his children,” Hayes said.

But the absentee father has a history of money problems.

He’s embroiled in court battles in Hawaii and New York over a luxury housing development on the Big Island, and contractors are chasing him for $8,000 in unpaid bills for his waterfront manse in upstate Katonah.

A deeply tanned Fuchs, who also owns property in Hawaii and an East 12th Street penthouse, declined to comment about his case outside court yesterday.

Rosen and Fuchs will be back in court in early October.

After Fuchs left the top job at HBO and Time Warner Music in 1995, he dabbled in new media, investing in sites like Salon and Nerve.com.

He’s currently the chairman of the online auto company Autobytel. He also heads the Bryant Park corporation that runs the popular free summer events.